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Surface States of Topological Insulators: The Dirac Fermion in Curved Two-Dimensional Spaces

Surface States of Topological Insulators: The Dirac Fermion in Curved Two-Dimensional Spaces

The surface of a topological insulator is a closed two-dimensional manifold. The surface states are described by the Dirac Hamiltonian in curved two-dimensional spaces. For a slablike sample with a magnetic field perpendicular to its top and bottom surfaces, there are chiral states delocalized on the four side faces. These …